US7352119B2ExpiredUtilityA1

Method for designing a discharge lamp

62
Assignee: PATENT TREUHAND GES FUER ELEKTRISCHE GLUEHLAMPEN MBHPriority: Jul 2, 2004Filed: Jul 1, 2005Granted: Apr 1, 2008
Est. expiryJul 2, 2024(expired)· nominal 20-yr term from priority
Inventors:Henning Rehn
F21V 7/04H04N 9/315
62
PatentIndex Score
4
Cited by
3
References
4
Claims

Abstract

The invention relates to a method for designing a discharge lamp for use with a light-gathering system, in particular of a projector for data or video projection. Also disclosed are a lamp designed using such a method and a reflector provided therefore.

Claims

exact text as granted — not AI-modified
1. A projector lamp assembly comprising:
 a double ended high intensity arc discharge lamp burner having an axis and a body defining a vessel with an enclosed volume and an axially aligned first electrode and second electrode each electrode having an internal tip, the first electrode tip and second electrode tip having a separation distance of g and having a midpoint axially between the tips and an axial distance from the midpoint to an end of the body of L; 
 an reflector having a reflective surface in the form of a portion of an ellipsoid of revolution with an eccentricity of e 0 , a major semiaxis distance of a, a minor semiaxis of b, a first focal point F 1  and a second focal point F 2 , the first focal point F 1  and the second focal point F 2  being axially aligned with the lamp with the first focal point F 1  being positioned at the midpoint of the lamp; 
 
     and an optical transmission structure having an optical input positioned relative to the reflector to locate the input at the second focal point F 2 , the optical transmission structure having an etendue of E and an acceptance angle of γ′; wherein
     e   0   =e   a (γ′)−Δ e (γ′, E,g )  equation 3 
 
     
       
         
           
             
               
                 
                   
                     e 
                     a 
                   
                   = 
                   
                     
                       
                         2 
                       
                       + 
                       1 
                       - 
                       
                         tan 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           
                             γ 
                             ′ 
                           
                           2 
                         
                       
                     
                     
                       
                         2 
                       
                       + 
                       1 
                       + 
                       
                         tan 
                         ⁢ 
                         
                             
                         
                         ⁢ 
                         
                           
                             γ 
                             ′ 
                           
                           2 
                         
                       
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   1 
                 
               
             
           
         
       
     
     and 
     
       
         
           
             
               
                 
                   
                     Δ 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     e 
                   
                   = 
                   
                     1.3 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     sin 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     2 
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       γ 
                       ′ 
                     
                     ⁢ 
                     
                         
                     
                     ⁢ 
                     
                       
                         exp 
                         ( 
                         
                           
                             - 
                             2 
                           
                           ⁢ 
                           
                             
                               E 
                               0.17 
                             
                             g 
                           
                         
                         ) 
                       
                       . 
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   2 
                 
               
             
           
         
       
     
   
   
     2. The lamp assembly in  claim 1 , in which the axial distance from the reflector surface to the first focal point F 1  (focal length (f 1 )) is selected to be greater than 8 mm. 
   
   
     3. The lamp assembly in  claim 1 , in which the axial distance from the reflector surface to the second focal point F 2  (longer focal length (f 2 )) is determined according to 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       2 
                     
                     = 
                     
                       
                         L 
                         + 
                         
                           
                             d 
                             4 
                           
                           [ 
                           
                             
                               
                                 
                                   2 
                                 
                                 + 
                                 1 
                               
                               m 
                             
                             - 
                             
                               m 
                               
                                 
                                   2 
                                 
                                 + 
                                 1 
                               
                             
                           
                           ] 
                         
                       
                       
                         1 
                         - 
                         m 
                       
                     
                   
                   , 
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   4 
                 
               
             
           
         
       
     
     where 
     
       
         
           
             
               
                 
                   
                     m 
                     = 
                     
                       
                         
                           1 
                           - 
                           
                             e 
                             o 
                           
                         
                         
                           1 
                           + 
                           
                             e 
                             o 
                           
                         
                       
                       = 
                       
                         
                           f 
                           1 
                         
                         
                           f 
                           2 
                         
                       
                     
                   
                   , 
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   5 
                 
               
             
           
         
       
     
     and the ellipse semiaxes (a, b) are calculated therefrom according to 
     
       
         
           
             
               
                 
                   a 
                   = 
                   
                     
                       f 
                       2 
                     
                     
                       1 
                       + 
                       
                         e 
                         o 
                       
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   6 
                 
               
             
             
               
                 
                   b 
                   = 
                   
                     a 
                     ⁢ 
                     
                       
                         
                           1 
                           - 
                           
                             e 
                             o 
                             2 
                           
                         
                       
                       . 
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   7 
                 
               
             
           
         
       
     
   
   
     4. The lamp assembly in  claim 1 , in which the axial distance from the reflector surface to the second focal point F 2 , (longer focal length (f 2 )) is determined according to 
     
       
         
           
             
               
                 
                   
                     
                       f 
                       2 
                     
                     = 
                     
                       
                         1 
                         
                           1 
                           - 
                           m 
                         
                       
                       [ 
                       
                         L 
                         + 
                         
                           
                             d 
                             2 
                           
                           ⁢ 
                           
                             
                               
                                 ( 
                                 
                                   
                                     
                                       
                                         2 
                                       
                                       + 
                                       1 
                                     
                                     m 
                                   
                                   - 
                                   
                                     m 
                                     
                                       
                                         2 
                                       
                                       + 
                                       1 
                                     
                                   
                                 
                                 ) 
                               
                               - 
                               
                                 2 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 tan 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 ξ 
                               
                             
                             
                               2 
                               + 
                               
                                 
                                   ( 
                                   
                                     
                                       
                                         
                                           2 
                                         
                                         + 
                                         1 
                                       
                                       m 
                                     
                                     - 
                                     
                                       m 
                                       
                                         
                                           2 
                                         
                                         + 
                                         1 
                                       
                                     
                                   
                                   ) 
                                 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 tan 
                                 ⁢ 
                                 
                                     
                                 
                                 ⁢ 
                                 ξ 
                               
                             
                           
                         
                       
                       ] 
                     
                   
                   , 
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   8 
                 
               
             
           
         
       
     
     where 
     
       
         
           
             
               
                 
                   
                     
                       
                         m 
                         = 
                         
                           
                             
                               1 
                               - 
                               
                                 e 
                                 o 
                               
                             
                             
                               1 
                               + 
                               
                                 e 
                                 o 
                               
                             
                           
                           = 
                           
                             
                               f 
                               1 
                             
                             
                               f 
                               2 
                             
                           
                         
                       
                     
                   
                   
                     
                       
                         
                           and 
                           ⁢ 
                           
                               
                           
                           ⁢ 
                           0 
                         
                         ≤ 
                         ξ 
                         ≤ 
                         
                           2 
                           ⁢ 
                           ° 
                         
                       
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   5 
                 
               
             
           
         
       
     
     and the ellipse semiaxes (a, b) are calculated therefrom according to 
     
       
         
           
             
               
                 
                   a 
                   = 
                   
                     
                       f 
                       2 
                     
                     
                       1 
                       + 
                       
                         e 
                         o 
                       
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   6 
                 
               
             
             
               
                 
                   b 
                   = 
                   
                     a 
                     ⁢ 
                     
                       
                         
                           1 
                           - 
                           
                             e 
                             o 
                             2 
                           
                         
                       
                       . 
                     
                   
                 
               
               
                 
                   equation 
                   ⁢ 
                   
                       
                   
                   ⁢ 
                   7

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